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Finding the Fourth Proportional to 207,996.84, 311,803.92 and 113,088.36

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Solution

The fourth proportional to 207,996.84, 311,803.92 and 113,088.36 is: 169,528.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,996.84 : 311,803.92 = 113,088.36 : x
  2. Step 2: Convert to fraction form
    207,996.84/311,803.92 = 113,088.36/x
  3. Step 3: Cross multiply
    207,996.84x = 311,803.92 × 113,088.36
  4. Step 4: Simplify right side
    207,996.84x = 35,261,393,954.37
  5. Step 5: Solve for x
    x = 35,261,393,954.37/207,996.84
  6. Step 6: Final answer
    x = 169,528.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.